The Interpolation Problem In Complex Banach Lattices
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The Interpolation Problem In Complex Banach Lattices
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Author : Walter Roth
language : de
Publisher:
Release Date : 1981
The Interpolation Problem In Complex Banach Lattices written by Walter Roth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Approximation theory categories.
Interpolation Functors And Interpolation Spaces
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Author :
language : en
Publisher: Elsevier
Release Date : 1991-03-18
Interpolation Functors And Interpolation Spaces written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-18 with Mathematics categories.
The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces, nonlinear functional analysis, etc. Besides this the theory has a considerable internal beauty and must by now be regarded as an independent branch of analysis, with its own problems and methods. Further development in the 1970s and 1980s included the solution by the authors of this book of one of the outstanding questions in the theory of the real method, the K-divisibility problem. In a way, this book harvests the results of that solution, as well as drawing heavily on a classic paper by Aronszajn and Gagliardo, which appeared in 1965 but whose real importance was not realized until a decade later. This includes a systematic use of the language, if not the theory, of categories. In this way the book also opens up many new vistas which still have to be explored. This volume is the first of three planned books. Volume II will deal with the complex method, while Volume III will deal with applications.
Interpolation Spaces And Allied Topics In Analysis
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Author : M. Cwikel
language : en
Publisher: Springer
Release Date : 2006-12-08
Interpolation Spaces And Allied Topics In Analysis written by M. Cwikel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
Interpolation Of Weighted Banach Lattices
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Author : Michael Cwikel
language : en
Publisher:
Release Date : 1988*
Interpolation Of Weighted Banach Lattices written by Michael Cwikel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988* with categories.
Interpolation Of Weighted Banach Lattices A Characterization Of Relatively Decomposable Banach Lattices
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Author : Michael Cwikel
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Interpolation Of Weighted Banach Lattices A Characterization Of Relatively Decomposable Banach Lattices written by Michael Cwikel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Includes a paper that provides necessary and sufficient conditions on a couple of Banach lattices of measurable functions $(X_{0}, X_{1})$ which ensure that, for all weight functions $w_{0}$ and $w_{1}$, the couple of weighted lattices $(X_{0, w_{0}}, X_{1, w_{1}})$ is a Calderon-Mityagin cou
Handbook Of The Geometry Of Banach Spaces
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Author :
language : en
Publisher: Elsevier
Release Date : 2003-05-06
Handbook Of The Geometry Of Banach Spaces written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-06 with Mathematics categories.
Handbook of the Geometry of Banach Spaces
Interpolation Theory And Applications
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Author : Michael Cwikel
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Interpolation Theory And Applications written by Michael Cwikel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This volume contains the Proceedings of the Conference on Interpolation Theory and Applications in honor of Professor Michael Cwikel (Miami, FL, 2006). The central topic of this book is interpolation theory in its broadest sense, with special attention to its applications to analysis. The articles include applications to classical analysis, harmonic analysis, partial differential equations, function spaces, image processing, geometry of Banach spaces, and more. This volume emphasizes remarkable connections between several branches of pure and applied analysis. Graduate students and researchers in analysis will find it very useful.
Banach Spaces And Their Applications In Analysis
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Author : Beata Randrianantoanina
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-22
Banach Spaces And Their Applications In Analysis written by Beata Randrianantoanina and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.
In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space techniques. This volume contains papers by participants of the conference "Banach Spaces and their Applications in Analysis", held in May 2006 at Miami University in Oxford, Ohio, in honor of Nigel Kalton's 60th birthday. In addition to research articles contributed by participants, the volume includes invited expository articles by principal speakers of the conference, who are leaders in their areas. These articles present overviews of new developments in each of the conference's main areas of emphasis, namely nonlinear theory, isomorphic theory of Banach spaces including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces. This volume also contains an expository article about the deep and broad mathematical work of Nigel Kalton, written by his long time collaborator, Gilles Godefroy. Godefroy's article, and in fact the entire volume, illustrates the power and versatility of applications of Banach space methods and underlying connections between seemingly distant areas of analysis.
Martingales In Banach Spaces
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Author : Gilles Pisier
language : en
Publisher: Cambridge University Press
Release Date : 2016-06-06
Martingales In Banach Spaces written by Gilles Pisier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.
This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.
Nigel J Kalton Selecta
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Author : Fritz Gesztesy
language : en
Publisher: Birkhäuser
Release Date : 2016-07-05
Nigel J Kalton Selecta written by Fritz Gesztesy and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-05 with Mathematics categories.
This is the second part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it. Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.